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A tuning fork, vibrating with a frequency of 90 Hz. is moving towards an observer with a with a speed of 0.1 times the speed of sound. The frequency o
Question

A tuning fork, vibrating with a frequency of 90 Hz. is moving towards an observer with a with a speed of 0.1 times the speed of sound. The frequency of the note heard by the observer would be:

A.

80 Hz

B.

90 Hz

C.

100 Hz

D.

120 Hz

Correct option is C

Given:The source (tuning fork) is moving towards the observer. Source frequency, f0=90 Hz Source speed, Vs=0.1×VsoundWhen the source moves towards a stationary observer, the apparent frequency is given by:f=f0(1+VsVsound)f=90(1+0.1)f=90×1.1=99 Hz100 Hz\textbf{Given:} \\\text{The source (tuning fork) is moving \textbf{towards the observer}.} \\\bullet \text{ Source frequency, } f_0 = 90\, \text{Hz} \\\bullet \text{ Source speed, } V_s = 0.1 \times V_{\text{sound}}\\[10pt]\text{When the \textbf{source moves towards} a stationary observer, the apparent frequency is given by:} \\f = f_0 \left(1 + \frac{V_s}{V_{\text{sound}}}\right)\\[10pt]f = 90 (1 + 0.1) \\f = 90 \times 1.1 = 99\, \text{Hz} \approx 100\, \text{Hz}​​

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